Finite Group Databasebeta

← C37×#36887 #22658140

Subgroups — C37×#36887 #22658140

Order 9472.

2090 conjugacy classes of subgroups.

The subgroup lattice has 1670 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#2849C211yesmaximal, characteristic, complemented
2C37×#2847C211yesmaximal, characteristic, complemented
3C37×#2778C211yesmaximal, characteristic, complemented
4C37×#2768C211yesmaximal, characteristic, complemented
5C37×#2753C211yesmaximal, characteristic, complemented
6C37×#2746C211yesmaximal, characteristic, complemented
7C37×#2739C211yesmaximal, characteristic, complemented
8C37×#2714C211yesmaximal, characteristic, complemented
9C37×#2709C211yesmaximal, characteristic, complemented
10C37×#2705C211yesmaximal, characteristic, complemented
11C37×#2699C211yesmaximal, characteristic, complemented
12C37×#2691C211yesmaximal, characteristic, complemented
13C37×#2685C211yesmaximal, characteristic, complemented
14C37×#2678C211yesmaximal, characteristic, complemented
15C37×#2678C211yesmaximal, characteristic, complemented
16C37×#2671C211yesmaximal, characteristic, complemented
17C37×#2671C211yesmaximal, characteristic, complemented
18C37×#2669C211yesmaximal, characteristic, complemented
19C37×#2636C211yesmaximal, characteristic, complemented
20C37×#2635C211yesmaximal, characteristic, complemented
21C37×#2576C211yesmaximal, characteristic, complemented
22C37×#2559C211yesmaximal, characteristic, complemented
23C37×#2554C211yesmaximal, characteristic, complemented
24C37×#2553C211yesmaximal, characteristic, complemented
25C37×#2468C211yesmaximal, characteristic, complemented
26C37×#2464C211yesmaximal, characteristic, complemented
27C37×#2428C211yesmaximal, characteristic, complemented
28C37×#2420C211yesmaximal, characteristic, complemented
29C37×#2335C211yesmaximal, characteristic, complemented
30C37×#2333C211yesmaximal, characteristic, complemented
31C4×#120×C37C211yesmaximal, characteristic, complemented
32C24×C4×C37C2211yescharacteristic
33C2×#127×C37C2211yescharacteristic
34C2×#126×C37C2211yescharacteristic
35C2×#126×C37C2211yescharacteristic, complemented
36C2×#126×C37C2211yescharacteristic, complemented
37C2×#123×C37C2211yescharacteristic
38C2×#123×C37C2211yescharacteristic
39C2×#123×C37C2211yescharacteristic
40C2×#123×C37C2211yescharacteristic
41C2×#121×C37C2211yescharacteristic
42C2×#121×C37C2211yescharacteristic
43C2×#121×C37C2211yescharacteristic
44C2×#121×C37C2211yescharacteristic
45C2×#121×C37C2211yescharacteristic
46C2×#121×C37C2211yescharacteristic
47C2×#121×C37C2211yescharacteristic
48C2×#121×C37C2211yescharacteristic, complemented
49C2×#121×C37C2211yescharacteristic, complemented
50C2×#120×C37C2211yescharacteristic
51C2×#120×C37C2211yescharacteristic
52C2×#120×C37C2211yescharacteristic
53C2×#120×C37C2211yescharacteristic
54C2×C4×D4×C37C2211yescharacteristic
55C2×C4×D4×C37C2211yescharacteristic
56C2×C4×D4×C37C2211yescharacteristic
57C37×#401C2211yescharacteristic, complemented
58C37×#400C2211yescharacteristic, complemented
59C37×#400C2211yescharacteristic, complemented
60C37×#400C2211yescharacteristic, complemented
61C37×#399C2211yescharacteristic
62C37×#399C2211yescharacteristic, complemented
63C37×#399C2211yescharacteristic, complemented
64C37×#398C2211yescharacteristic, complemented
65C37×#398C2211yescharacteristic, complemented
66C37×#398C2211yescharacteristic, complemented
67C37×#398C2211yescharacteristic, complemented
68C37×#398C2211yescharacteristic, complemented
69C37×#397C2211yescharacteristic
70C37×#397C2211yescharacteristic
71C37×#397C2211yescharacteristic, complemented
72C37×#397C2211yescharacteristic, complemented
73C37×#396C2211yescharacteristic
74C37×#396C2211yescharacteristic
75C37×#396C2211yescharacteristic
76C37×#396C2211yescharacteristic, complemented
77C37×#394C2211yescharacteristic
78C37×#394C2211yescharacteristic
79C37×#394C2211yescharacteristic
80C37×#394C2211yescharacteristic
81C37×#394C2211yescharacteristic
82C37×#394C2211yescharacteristic
83C37×#394C2211yescharacteristic
84C37×#394C2211yescharacteristic
85C37×#394C2211yescharacteristic
86C37×#394C2211yescharacteristic
87C37×#394C2211yescharacteristic, complemented
88C37×#394C2211yescharacteristic, complemented
89C37×#394C2211yescharacteristic, complemented
90C37×#394C2211yescharacteristic, complemented
91C37×#394C2211yescharacteristic, complemented
92C37×#394C2211yescharacteristic, complemented
93C37×#394C2211yescharacteristic, complemented
94C37×#394C2211yescharacteristic, complemented
95C37×#394C2211yescharacteristic, complemented
96C37×#392C2211yescharacteristic
97C37×#392C2211yescharacteristic
98C37×#392C2211yescharacteristic
99C37×#392C2211yescharacteristic
100C37×#392C2211yescharacteristic
101C37×#392C2211yescharacteristic
102C37×#392C2211yescharacteristic
103C37×#392C2211yescharacteristic
104C37×#392C2211yescharacteristic, complemented
105C37×#390C2211yescharacteristic
106C37×#390C2211yescharacteristic
107C37×#390C2211yescharacteristic
108C37×#390C2211yescharacteristic
109C37×#390C2211yescharacteristic
110C37×#390C2211yescharacteristic
111C37×#390C2211yescharacteristic, complemented
112C37×#390C2211yescharacteristic, complemented
113C37×#389C2211yescharacteristic, complemented
114C37×#389C2211yescharacteristic, complemented
115C37×#389C2211yescharacteristic, complemented
116C37×#388C2211yescharacteristic
117C37×#388C2211yescharacteristic
118C37×#388C2211yescharacteristic
119C37×#388C2211yescharacteristic
120C37×#388C2211yescharacteristic
121C37×#388C2211yescharacteristic
122C37×#388C2211yescharacteristic
123C37×#388C2211yescharacteristic, complemented
124C37×#388C2211yescharacteristic, complemented
125C37×#388C2211yescharacteristic, complemented
126C37×#388C2211yescharacteristic, complemented
127C37×#388C2211yescharacteristic, complemented
128C37×#388C2211yescharacteristic, complemented
129C37×#388C2211yescharacteristic, complemented
130C37×#388C2211yescharacteristic, complemented
131C37×#387C2211yescharacteristic, complemented
132C37×#387C2211yescharacteristic, complemented
133C37×#387C2211yescharacteristic, complemented
134C37×#387C2211yescharacteristic, complemented
135C37×#387C2211yescharacteristic, complemented
136C37×#387C2211yescharacteristic, complemented
137C37×#386C2211yescharacteristic
138C37×#386C2211yescharacteristic
139C37×#386C2211yescharacteristic
140C37×#386C2211yescharacteristic
141C37×#386C2211yescharacteristic
142C37×#386C2211yescharacteristic
143C37×#386C2211yescharacteristic
144C37×#386C2211yescharacteristic
145C37×#386C2211yescharacteristic
146C37×#386C2211yescharacteristic
147C37×#386C2211yescharacteristic
148C37×#386C2211yescharacteristic
149C37×#386C2211yescharacteristic
150C37×#386C2211yescharacteristic
151C37×#386C2211yescharacteristic
152C37×#386C2211yescharacteristic
153C37×#386C2211yescharacteristic, complemented
154C37×#386C2211yescharacteristic, complemented
155C37×#386C2211yescharacteristic, complemented
156C37×#386C2211yescharacteristic, complemented
157C37×#385C2211yescharacteristic
158C37×#385C2211yescharacteristic
159C37×#385C2211yescharacteristic
160C37×#385C2211yescharacteristic
161C37×#385C2211yescharacteristic
162C37×#385C2211yescharacteristic
163C37×#385C2211yescharacteristic
164C37×#385C2211yescharacteristic, complemented
165C37×#385C2211yescharacteristic, complemented
166C37×#385C2211yescharacteristic, complemented
167C37×#382C2211yescharacteristic, complemented
168C37×#382C2211yescharacteristic, complemented
169C37×#381C2211yescharacteristic
170C37×#381C2211yescharacteristic
171C37×#381C2211yescharacteristic, complemented
172C37×#381C2211yescharacteristic, complemented
173C37×#380C2211yescharacteristic
174C37×#380C2211yescharacteristic
175C37×#380C2211yescharacteristic
176C37×#380C2211yescharacteristic, complemented
177C37×#380C2211yescharacteristic, complemented
178C37×#379C2211yescharacteristic
179C37×#379C2211yescharacteristic
180C4×C4⋊C4×C37C2211yescharacteristic, complemented
181C4×C22⋊C4×C37C2211yescharacteristic
182C4×C22⋊C4×C37C2211yescharacteristic
183C4×C22⋊C4×C37C2211yescharacteristic
184C4×C22⋊C4×C37C2211yescharacteristic, complemented
185C4×C22⋊C4×C37C2211yescharacteristic, complemented
186C4×C22⋊C4×C37C2211yescharacteristic, complemented
187C25×C37C2311yescharacteristic
188C22×D4×C37C2311yescharacteristic
189C22×D4×C37C2311yescharacteristic
190C22×D4×C37C2311yescharacteristic
191C22×D4×C37C2311yescharacteristic
192C22×D4×C37C2311yescharacteristic
193C22×D4×C37C2311yescharacteristic
194C22×D4×C37C2311yescharacteristic
195C22×D4×C37C2311yescharacteristic
196C22×D4×C37C2311yescharacteristic
197C22×D4×C37C2311yescharacteristic
198C22×D4×C37C2311yescharacteristic
199C22×D4×C37C2311yescharacteristic
200C22×D4×C37C2311yescharacteristic
201C22×D4×C37C2311yescharacteristic
202C22×D4×C37C2311yescharacteristic
203C22×D4×C37C2311yescharacteristic
204C22×D4×C37C2311yescharacteristic
205C22×D4×C37C2311yescharacteristic
206C23×C4×C37—42no—
207C23×C4×C37—42no—
208C23×C4×C37—42no—
209C23×C4×C37C2311yescharacteristic
210C23×C4×C37C2311yescharacteristic
211C23×C4×C37C2311yescharacteristic
212C23×C4×C37C2311yescharacteristic
213C23×C4×C37C2311yescharacteristic
214C23×C4×C37C2311yescharacteristic
215C23×C4×C37C2311yescharacteristic
216C23×C4×C37C2311yescharacteristic
217C23×C4×C37C2311yescharacteristic
218C23×C4×C37C2311yescharacteristic
219#127×C37—42no—
220#126×C37—42no—
221#126×C37—42no—
222#126×C37—42no—
223#123×C37—24no—
224#123×C37—42no—
225#123×C37—42no—
226#123×C37—42no—
227#121×C37—24no—
228#121×C37—42no—
229#121×C37—42no—
230#121×C37—42no—
231#121×C37—42no—
232#121×C37—42no—
233#121×C37—42no—
234#121×C37—42no—
235#121×C37—42no—
236#120×C37—24no—
237#120×C37—42no—
238#120×C37—42no—
239#120×C37—42no—
240C4×D4×C37—42no—
241C4×D4×C37—42no—
242C4×D4×C37—42no—
243C2×C4⋊C4×C37C2311yescharacteristic
244C2×C4⋊C4×C37C2311yescharacteristic
245C2×C4⋊C4×C37C2311yescharacteristic
246C2×C4⋊C4×C37C2311yescharacteristic
247C2×C4⋊C4×C37C2311yescharacteristic
248C2×C4⋊C4×C37C2311yescharacteristic
249C2×C4⋊C4×C37C2311yescharacteristic
250C2×C4⋊C4×C37C2311yescharacteristic
251C2×C4⋊C4×C37C2311yescharacteristic
252C2×C4⋊C4×C37C2311yescharacteristic
253C2×C4⋊C4×C37C2311yescharacteristic
254C2×C4⋊C4×C37C2311yescharacteristic
255C2×C4⋊C4×C37C2311yescharacteristic
256C2×C4⋊C4×C37C2311yescharacteristic
257C2×C4⋊C4×C37C2311yescharacteristic
258C2×C4⋊C4×C37C2311yescharacteristic
259C2×C4⋊C4×C37C2311yescharacteristic
260C2×C4⋊C4×C37C2311yescharacteristic
261C2×C4⋊C4×C37C2311yescharacteristic
262C2×C4⋊C4×C37C2311yescharacteristic
263C2×C4⋊C4×C37C2311yescharacteristic
264C2×C4⋊C4×C37C2311yescharacteristic
265C2×C4⋊C4×C37C2311yescharacteristic
266C2×C4⋊C4×C37C2311yescharacteristic
267C2×C4⋊C4×C37C2311yescharacteristic
268C2×C4⋊C4×C37C2311yescharacteristic
269C2×C22⋊C4×C37C2311yescharacteristic
270C2×C22⋊C4×C37C2311yescharacteristic
271C2×C22⋊C4×C37C2311yescharacteristic
272C2×C22⋊C4×C37C2311yescharacteristic
273C2×C22⋊C4×C37C2311yescharacteristic
274C2×C22⋊C4×C37C2311yescharacteristic
275C2×C22⋊C4×C37C2311yescharacteristic
276C2×C22⋊C4×C37C2311yescharacteristic
277C2×C22⋊C4×C37C2311yescharacteristic
278C2×C22⋊C4×C37C2311yescharacteristic
279C2×C22⋊C4×C37C2311yescharacteristic
280C2×C22⋊C4×C37C2311yescharacteristic
281C2×C22⋊C4×C37C2311yescharacteristic
282C2×C22⋊C4×C37C2311yescharacteristic
283C2×C22⋊C4×C37C2311yescharacteristic
284C2×C22⋊C4×C37C2311yescharacteristic
285C2×C22⋊C4×C37C2311yescharacteristic
286C2×C22⋊C4×C37C2311yescharacteristic
287C2×C22⋊C4×C37C2311yescharacteristic
288C2×C22⋊C4×C37C2311yescharacteristic
289C2×C22⋊C4×C37C2311yescharacteristic
290C2×C22⋊C4×C37C2311yescharacteristic
291C2×C22⋊C4×C37C2311yescharacteristic
292C2×C22⋊C4×C37C2311yescharacteristic
293C2×C22⋊C4×C37C2311yescharacteristic
294C2×C22⋊C4×C37C2311yescharacteristic
295C2×C22⋊C4×C37C2311yescharacteristic
296C2×C22⋊C4×C37C2311yescharacteristic
297C2×C22⋊C4×C37C2311yescharacteristic
298C2×C22⋊C4×C37C2311yescharacteristic
299C2×C22⋊C4×C37C2311yescharacteristic
300C2×C22⋊C4×C37C2311yescharacteristic
301C2×C22⋊C4×C37C2311yescharacteristic
302C2×C22⋊C4×C37C2311yescharacteristic
303C2×C22⋊C4×C37C2311yescharacteristic
304C2×C22⋊C4×C37C2311yescharacteristic
305C2×C22⋊C4×C37C2311yescharacteristic
306C2×C22⋊C4×C37C2311yescharacteristic
307C2×C22⋊C4×C37C2311yescharacteristic
308C2×C22⋊C4×C37C2311yescharacteristic
309C2×C22⋊C4×C37C2311yescharacteristic
310C2×C22⋊C4×C37C2311yescharacteristic
311C2×C22⋊C4×C37C2311yescharacteristic
312C2×C22⋊C4×C37C2311yescharacteristic
313C2×C22⋊C4×C37C2311yescharacteristic
314C2×C22⋊C4×C37C2311yescharacteristic
315C2×C22⋊C4×C37C2311yescharacteristic
316C2×C22⋊C4×C37C2311yescharacteristic
317C2×C22⋊C4×C37C2311yescharacteristic
318C2×C22⋊C4×C37C2311yescharacteristic
319C2×C22⋊C4×C37C2311yescharacteristic
320C2×C22⋊C4×C37C2311yescharacteristic
321C2×C22⋊C4×C37C2311yescharacteristic
322C2×C22⋊C4×C37C2311yescharacteristic
323C2×C22⋊C4×C37C2311yescharacteristic
324C2×C22⋊C4×C37C2311yescharacteristic
325C2×C42×C37C2311yescharacteristic
326C2×C42×C37C2311yescharacteristic
327C2×C42×C37C2311yescharacteristic
328C2×C42×C37C2311yescharacteristic
329C2×C42×C37C2311yescharacteristic
330C2×C42×C37C2311yescharacteristic
331C2×C42×C37C2311yescharacteristic
332C2×C42×C37C2311yescharacteristic
333#95×C37C2311yescharacteristic
334#95×C37C2311yescharacteristic
335#95×C37C2311yescharacteristic
336#95×C37C2311yescharacteristic
337#95×C37C2311yescharacteristic
338#95×C37C2311yescharacteristic
339#95×C37C2311yescharacteristic
340#95×C37C2311yescharacteristic
341#95×C37C2311yescharacteristic
342#95×C37C2311yescharacteristic
343#95×C37C2311yescharacteristic
344#95×C37C2311yescharacteristic
345#95×C37C2311yescharacteristic
346#95×C37C2311yescharacteristic
347#95×C37C2311yescharacteristic
348#95×C37C2311yescharacteristic
349#95×C37C2311yescharacteristic
350#95×C37C2311yescharacteristic
351#95×C37C2311yescharacteristic
352#95×C37C2311yescharacteristic
353#95×C37C2311yescharacteristic
354#95×C37C2311yescharacteristic
355#95×C37C2311yescharacteristic
356#95×C37C2311yescharacteristic
357#95×C37C2311yescharacteristic
358#95×C37C2311yescharacteristic
359#95×C37C2311yescharacteristic
360#95×C37C2311yescharacteristic
361#95×C37C2311yescharacteristic
362#95×C37C2311yescharacteristic
363#95×C37C2311yescharacteristic
364#95×C37C2311yescharacteristic
365#95×C37C2311yescharacteristic
366#95×C37C2311yescharacteristic
367#95×C37C2311yescharacteristic
368#95×C37C2311yescharacteristic
369C24×C37—22no—
370C24×C37—22no—
371C24×C37—22no—
372C24×C37—41no—
373C24×C37—41no—
374C24×C37—41no—
375C24×C37—41no—
376C24×C37C2411yescharacteristic
377C24×C37C2411yescharacteristic
378C24×C37C2411yescharacteristic
379C24×C37C2411yescharacteristic
380C24×C37C2411yescharacteristic
381C24×C37C2411yescharacteristic
382C24×C37C2411yescharacteristic
383C2×D4×C37—22no—
384C2×D4×C37—22no—
385C2×D4×C37—22no—
386C2×D4×C37—22no—
387C2×D4×C37—22no—
388C2×D4×C37—22no—
389C2×D4×C37—22no—
390C2×D4×C37—22no—
391C2×D4×C37—22no—
392C2×D4×C37—22no—
393C2×D4×C37—22no—
394C2×D4×C37—22no—
395C2×D4×C37—22no—
396C2×D4×C37—22no—
397C2×D4×C37—22no—
398C2×D4×C37—22no—
399C2×D4×C37—41no—
400C2×D4×C37—41no—
401C2×D4×C37—41no—
402C2×D4×C37—41no—
403C2×D4×C37—41no—
404C2×D4×C37—41no—
405C2×D4×C37—41no—
406C2×D4×C37—41no—
407C2×D4×C37—41no—
408C2×D4×C37—41no—
409C2×D4×C37—41no—
410C2×D4×C37—41no—
411C2×D4×C37—41no—
412C2×D4×C37—41no—
413C2×D4×C37—41no—
414C2×D4×C37—41no—
415C2×D4×C37—41no—
416C2×D4×C37—41no—
417C2×D4×C37—41no—
418C2×D4×C37—41no—
419C2×D4×C37—41no—
420C2×D4×C37—41no—
421C2×D4×C37—41no—
422C2×D4×C37—41no—
423C2×D4×C37—41no—
424C2×D4×C37—41no—
425C2×D4×C37—41no—
426C2×D4×C37—41no—
427C2×D4×C37—41no—
428C2×D4×C37—41no—
429C2×D4×C37—41no—
430C2×D4×C37—41no—
431C2×D4×C37—41no—
432C2×D4×C37—41no—
433C2×D4×C37—41no—
434C2×D4×C37—41no—
435C2×D4×C37—41no—
436C2×D4×C37—41no—
437C22×C4×C37—22no—
438C22×C4×C37—22no—
439C22×C4×C37—22no—
440C22×C4×C37—22no—
441C22×C4×C37—22no—
442C22×C4×C37—22no—
443C22×C4×C37—22no—
444C22×C4×C37—22no—
445C22×C4×C37—22no—
446C22×C4×C37—22no—
447C22×C4×C37—22no—
448C22×C4×C37—41no—
449C22×C4×C37—41no—
450C22×C4×C37—41no—
451C22×C4×C37—41no—
452C22×C4×C37—41no—
453C22×C4×C37—41no—
454C22×C4×C37—41no—
455C22×C4×C37—41no—
456C22×C4×C37—41no—
457C22×C4×C37—41no—
458C22×C4×C37—41no—
459C22×C4×C37—41no—
460C22×C4×C37—41no—
461C22×C4×C37—41no—
462C22×C4×C37—41no—
463C22×C4×C37—41no—
464C22×C4×C37—41no—
465C22×C4×C37—41no—
466C22×C4×C37—41no—
467C22×C4×C37—416no—
468C22×C4×C37C2411yescharacteristic
469C22×C4×C37C2411yescharacteristic
470C22×C4×C37C2411yescharacteristic
471C22×C4×C37C2411yescharacteristic
472C22×C4×C37C2411yescharacteristic
473C22×C4×C37C2411yescharacteristic
474C22×C4×C37C2411yescharacteristic
475C22×C4×C37C2411yescharacteristic
476C22×C4×C37C2411yescharacteristic
477C22×C4×C37C2411yescharacteristic
478C22×C4×C37C2411yescharacteristic
479C22×C4×C37C2411yescharacteristic
480C22×C4×C37C2411yescharacteristic
481C22×C4×C37C2411yescharacteristic
482C22×C4×C37C2411yescharacteristic
483C22×C4×C37C2411yescharacteristic
484C22×C4×C37C2411yescharacteristic
485C22×C4×C37C2411yescharacteristic
486C22×C4×C37C2411yescharacteristic
487C22×C4×C37C2411yescharacteristic
488C22×C4×C37C2411yescharacteristic
489C22×C4×C37C2411yescharacteristic
490C22×C4×C37C2411yescharacteristic
491C22×C4×C37C2411yescharacteristic
492C4⋊C4×C37—22no—
493C4⋊C4×C37—22no—
494C4⋊C4×C37—22no—
495C4⋊C4×C37—22no—
496C4⋊C4×C37—22no—
497C4⋊C4×C37—22no—
498C4⋊C4×C37—22no—
499C4⋊C4×C37—41no—
500C4⋊C4×C37—41no—
501C4⋊C4×C37—41no—
502C4⋊C4×C37—41no—
503C4⋊C4×C37—41no—
504C4⋊C4×C37—41no—
505C4⋊C4×C37—41no—
506C4⋊C4×C37—41no—
507C4⋊C4×C37—41no—
508C4⋊C4×C37—41no—
509C4⋊C4×C37—41no—
510C4⋊C4×C37—41no—
511C4⋊C4×C37—41no—
512C4⋊C4×C37—41no—
513C4⋊C4×C37—41no—
514C4⋊C4×C37—41no—
515C4⋊C4×C37—41no—
516C4⋊C4×C37—41no—
517C4⋊C4×C37—41no—
518C22⋊C4×C37—22no—
519C22⋊C4×C37—22no—
520C22⋊C4×C37—22no—
521C22⋊C4×C37—22no—
522C22⋊C4×C37—22no—
523C22⋊C4×C37—22no—
524C22⋊C4×C37—22no—
525C22⋊C4×C37—22no—
526C22⋊C4×C37—22no—
527C22⋊C4×C37—22no—
528C22⋊C4×C37—22no—
529C22⋊C4×C37—22no—
530C22⋊C4×C37—22no—
531C22⋊C4×C37—22no—
532C22⋊C4×C37—22no—
533C22⋊C4×C37—22no—
534C22⋊C4×C37—41no—
535C22⋊C4×C37—41no—
536C22⋊C4×C37—41no—
537C22⋊C4×C37—41no—
538C22⋊C4×C37—41no—
539C22⋊C4×C37—41no—
540C22⋊C4×C37—41no—
541C22⋊C4×C37—41no—
542C22⋊C4×C37—41no—
543C22⋊C4×C37—41no—
544C22⋊C4×C37—41no—
545C22⋊C4×C37—41no—
546C22⋊C4×C37—41no—
547C22⋊C4×C37—41no—
548C22⋊C4×C37—41no—
549C22⋊C4×C37—41no—
550C22⋊C4×C37—41no—
551C22⋊C4×C37—41no—
552C22⋊C4×C37—41no—
553C22⋊C4×C37—41no—
554C22⋊C4×C37—41no—
555C22⋊C4×C37—41no—
556C22⋊C4×C37—41no—
557C22⋊C4×C37—41no—
558C22⋊C4×C37—41no—
559C22⋊C4×C37—41no—
560C22⋊C4×C37—41no—
561C22⋊C4×C37—41no—
562C22⋊C4×C37—41no—
563C22⋊C4×C37—41no—
564C22⋊C4×C37—41no—
565C22⋊C4×C37—41no—
566C22⋊C4×C37—41no—
567C22⋊C4×C37—41no—
568C22⋊C4×C37—41no—
569C22⋊C4×C37—41no—
570C22⋊C4×C37—41no—
571C22⋊C4×C37—41no—
572C22⋊C4×C37—41no—
573C22⋊C4×C37#4114yes—
574C42×C37—22no—
575C42×C37—41no—
576C42×C37—41no—
577C42×C37—41no—
578C42×C37—41no—
579C42×C37—41no—
580C42×C37—41no—
581C42×C37—41no—
582C23×C37—21no—
583C23×C37—21no—
584C23×C37—21no—
585C23×C37—21no—
586C23×C37—21no—
587C23×C37—21no—
588C23×C37—21no—
589C23×C37—21no—
590C23×C37—21no—
591C23×C37—21no—
592C23×C37—21no—
593C23×C37—21no—
594C23×C37—21no—
595C23×C37—21no—
596C23×C37—21no—
597C23×C37—21no—
598C23×C37—21no—
599C23×C37—21no—
600C23×C37—21no—
601C23×C37—21no—
602C23×C37—21no—
603C23×C37—21no—
604C23×C37—21no—
605C23×C37—21no—
606C23×C37—21no—
607C23×C37—21no—
608C23×C37—21no—
609C23×C37—21no—
610C23×C37—21no—
611C23×C37—21no—
612C23×C37—21no—
613C23×C37—21no—
614C23×C37—21no—
615C23×C37—21no—
616C23×C37—21no—
617C23×C37—21no—
618C23×C37—21no—
619C23×C37—21no—
620C23×C37—21no—
621C23×C37—21no—
622C23×C37—21no—
623C23×C37—21no—
624C23×C37—21no—
625C23×C37—21no—
626C23×C37—21no—
627C23×C37—21no—
628C23×C37—44no—
629C23×C37—44no—
630C23×C37—44no—
631C23×C37—44no—
632C23×C37—44no—
633C23×C37—44no—
634C23×C37—44no—
635C23×C37C2×#4112yes—
636C23×C37H(5,𝔽2)12yes—
637C23×C37H(5,𝔽2)12yes—
638C23×C37C2511yescharacteristic
639D4×C37—44no—
640D4×C37—44no—
641D4×C37—44no—
642D4×C37—82no—
643D4×C37—82no—
644D4×C37—82no—
645D4×C37—82no—
646D4×C37—82no—
647D4×C37—82no—
648D4×C37—82no—
649D4×C37—82no—
650D4×C37—82no—
651D4×C37—82no—
652D4×C37—82no—
653D4×C37—82no—
654D4×C37—82no—
655D4×C37—82no—
656D4×C37—82no—
657C2×C4×C37—21no—
658C2×C4×C37—21no—
659C2×C4×C37—21no—
660C2×C4×C37—21no—
661C2×C4×C37—21no—
662C2×C4×C37—21no—
663C2×C4×C37—21no—
664C2×C4×C37—21no—
665C2×C4×C37—21no—
666C2×C4×C37—21no—
667C2×C4×C37—21no—
668C2×C4×C37—21no—
669C2×C4×C37—21no—
670C2×C4×C37—21no—
671C2×C4×C37—21no—
672C2×C4×C37—21no—
673C2×C4×C37—21no—
674C2×C4×C37—21no—
675C2×C4×C37—21no—
676C2×C4×C37—21no—
677C2×C4×C37—21no—
678C2×C4×C37—21no—
679C2×C4×C37—21no—
680C2×C4×C37—21no—
681C2×C4×C37—21no—
682C2×C4×C37—21no—
683C2×C4×C37—21no—
684C2×C4×C37—21no—
685C2×C4×C37—21no—
686C2×C4×C37—21no—
687C2×C4×C37—21no—
688C2×C4×C37—21no—
689C2×C4×C37—21no—
690C2×C4×C37—21no—
691C2×C4×C37—21no—
692C2×C4×C37—21no—
693C2×C4×C37—21no—
694C2×C4×C37—21no—
695C2×C4×C37—21no—
696C2×C4×C37—21no—
697C2×C4×C37—21no—
698C2×C4×C37—21no—
699C2×C4×C37—21no—
700C2×C4×C37—21no—
701C2×C4×C37—21no—
702C2×C4×C37—21no—
703C2×C4×C37—21no—
704C2×C4×C37—21no—
705C2×C4×C37—21no—
706C2×C4×C37—21no—
707C2×C4×C37—21no—
708C2×C4×C37—21no—
709C2×C4×C37—21no—
710C2×C4×C37—21no—
711C2×C4×C37—21no—
712C2×C4×C37—21no—
713C2×C4×C37—21no—
714C2×C4×C37—21no—
715C2×C4×C37—21no—
716C2×C4×C37—21no—
717C2×C4×C37—21no—
718C2×C4×C37—21no—
719C2×C4×C37—21no—
720C2×C4×C37—21no—
721C2×C4×C37—21no—
722C2×C4×C37—21no—
723C2×C4×C37—21no—
724C2×C4×C37—21no—
725C2×C4×C37—44no—
726C2×C4×C37—44no—
727C2×C4×C37—44no—
728C2×C4×C37—44no—
729C2×C4×C37—44no—
730C2×C4×C37—44no—
731C2×C4×C37—82no—
732C2×C4×C37—82no—
733C2×C4×C37—82no—
734C2×C4×C37—82no—
735C2×C4×C37C2×#4112yes—
736C2×C4×C37C2×#4112yes—
737C2×C4×C37H(5,𝔽2)12yes—
738C2×C4×C37H(5,𝔽2)12yes—
739#36887C3711yesmaximal, characteristic, direct product factor, Sylow
740C22×C37—22no—
741C22×C37—22no—
742C22×C37—22no—
743C22×C37—22no—
744C22×C37—22no—
745C22×C37—22no—
746C22×C37—22no—
747C22×C37—22no—
748C22×C37—22no—
749C22×C37—416no—
750C22×C37—41no—
751C22×C37—41no—
752C22×C37—41no—
753C22×C37—41no—
754C22×C37—41no—
755C22×C37—41no—
756C22×C37—41no—
757C22×C37—41no—
758C22×C37—41no—
759C22×C37—41no—
760C22×C37—41no—
761C22×C37—41no—
762C22×C37—41no—
763C22×C37—41no—
764C22×C37—41no—
765C22×C37—41no—
766C22×C37—41no—
767C22×C37—41no—
768C22×C37—41no—
769C22×C37—41no—
770C22×C37—41no—
771C22×C37—41no—
772C22×C37—41no—
773C22×C37—41no—
774C22×C37—41no—
775C22×C37—41no—
776C22×C37—41no—
777C22×C37—41no—
778C22×C37—41no—
779C22×C37—41no—
780C22×C37—41no—
781C22×C37—41no—
782C22×C37—41no—
783C22×C37—41no—
784C22×C37—41no—
785C22×C37—41no—
786C22×C37—41no—
787C22×C37—41no—
788C22×C37—41no—
789C22×C37—41no—
790C22×C37C22×#4111yescharacteristic
791C22×C37C2×H(5,𝔽2)11yescharacteristic
792C22×C37C2×H(5,𝔽2)11yescharacteristic
793C22×C37C2×H(5,𝔽2)11yescharacteristic
794C22×C37C2×H(5,𝔽2)11yescharacteristic
795C22×C37#58511yescharacteristic
796C22×C37#58511yescharacteristic
797C4×C37—22no—
798C4×C37—22no—
799C4×C37—22no—
800C4×C37—22no—
801C4×C37—41no—
802C4×C37—41no—
803C4×C37—41no—
804C4×C37—41no—
805C4×C37—41no—
806C4×C37—41no—
807C4×C37—41no—
808C4×C37—41no—
809C4×C37—41no—
810C4×C37—41no—
811C4×C37—41no—
812C4×C37—41no—
813C4×C37—41no—
814C4×C37—41no—
815C4×C37—41no—
816C4×C37—41no—
817C4×C37—41no—
818C4×C37—41no—
819C4×C37—41no—
820C4×C37—41no—
821#2849C2×C3711yescharacteristic, complemented
822#2847C2×C3711yescharacteristic, complemented
823#2778C2×C3711yescharacteristic, complemented
824#2768C2×C3711yescharacteristic, complemented
825#2753C2×C3711yescharacteristic, complemented
826#2746C2×C3711yescharacteristic, complemented
827#2739C2×C3711yescharacteristic, complemented
828#2714C2×C3711yescharacteristic, complemented
829#2709C2×C3711yescharacteristic, complemented
830#2705C2×C3711yescharacteristic, complemented
831#2699C2×C3711yescharacteristic, complemented
832#2691C2×C3711yescharacteristic, complemented
833#2685C2×C3711yescharacteristic, complemented
834#2678C2×C3711yescharacteristic, complemented
835#2678C2×C3711yescharacteristic, complemented
836#2671C2×C3711yescharacteristic, complemented
837#2671C2×C3711yescharacteristic, complemented
838#2669C2×C3711yescharacteristic, complemented
839#2636C2×C3711yescharacteristic, complemented
840#2635C2×C3711yescharacteristic, complemented
841#2576C2×C3711yescharacteristic, complemented
842#2559C2×C3711yescharacteristic, complemented
843#2554C2×C3711yescharacteristic, complemented
844#2553C2×C3711yescharacteristic, complemented
845#2468C2×C3711yescharacteristic, complemented
846#2464C2×C3711yescharacteristic, complemented
847#2428C2×C3711yescharacteristic, complemented
848#2420C2×C3711yescharacteristic, complemented
849#2335C2×C3711yescharacteristic, complemented
850#2333C2×C3711yescharacteristic, complemented
851C4×#120C2×C3711yescharacteristic, complemented
852C2×C37—42no—
853C2×C37—42no—
854C2×C37—42no—
855C2×C37—81no—
856C2×C37—81no—
857C2×C37—81no—
858C2×C37—81no—
859C2×C37#346011yescharacteristic
860C2×C37#351311yescharacteristic
861C2×C37#351911yescharacteristic
862C2×C37#353211yescharacteristic
863C2×C37#353411yescharacteristic
864C2×C37#353911yescharacteristic
865C2×C37#354211yescharacteristic
866C24×C4C22×C3711yescharacteristic
867C2×#127C22×C3711yescharacteristic
868C2×#126C22×C3711yescharacteristic
869C2×#126C22×C3711yescharacteristic, complemented
870C2×#126C22×C3711yescharacteristic, complemented
871C2×#123C22×C3711yescharacteristic
872C2×#123C22×C3711yescharacteristic
873C2×#123C22×C3711yescharacteristic
874C2×#123C22×C3711yescharacteristic
875C2×#121C22×C3711yescharacteristic
876C2×#121C22×C3711yescharacteristic
877C2×#121C22×C3711yescharacteristic
878C2×#121C22×C3711yescharacteristic
879C2×#121C22×C3711yescharacteristic
880C2×#121C22×C3711yescharacteristic
881C2×#121C22×C3711yescharacteristic
882C2×#121C22×C3711yescharacteristic, complemented
883C2×#121C22×C3711yescharacteristic, complemented
884C2×#120C22×C3711yescharacteristic
885C2×#120C22×C3711yescharacteristic
886C2×#120C22×C3711yescharacteristic
887C2×#120C22×C3711yescharacteristic
888C2×C4×D4C22×C3711yescharacteristic
889C2×C4×D4C22×C3711yescharacteristic
890C2×C4×D4C22×C3711yescharacteristic
891#401C22×C3711yescharacteristic, complemented
892#400C22×C3711yescharacteristic, complemented
893#400C22×C3711yescharacteristic, complemented
894#400C22×C3711yescharacteristic, complemented
895#399C22×C3711yescharacteristic
896#399C22×C3711yescharacteristic, complemented
897#399C22×C3711yescharacteristic, complemented
898#398C22×C3711yescharacteristic, complemented
899#398C22×C3711yescharacteristic, complemented
900#398C22×C3711yescharacteristic, complemented
901#398C22×C3711yescharacteristic, complemented
902#398C22×C3711yescharacteristic, complemented
903#397C22×C3711yescharacteristic
904#397C22×C3711yescharacteristic
905#397C22×C3711yescharacteristic, complemented
906#397C22×C3711yescharacteristic, complemented
907#396C22×C3711yescharacteristic
908#396C22×C3711yescharacteristic
909#396C22×C3711yescharacteristic
910#396C22×C3711yescharacteristic, complemented
911#394C22×C3711yescharacteristic
912#394C22×C3711yescharacteristic
913#394C22×C3711yescharacteristic
914#394C22×C3711yescharacteristic
915#394C22×C3711yescharacteristic
916#394C22×C3711yescharacteristic
917#394C22×C3711yescharacteristic
918#394C22×C3711yescharacteristic
919#394C22×C3711yescharacteristic
920#394C22×C3711yescharacteristic
921#394C22×C3711yescharacteristic, complemented
922#394C22×C3711yescharacteristic, complemented
923#394C22×C3711yescharacteristic, complemented
924#394C22×C3711yescharacteristic, complemented
925#394C22×C3711yescharacteristic, complemented
926#394C22×C3711yescharacteristic, complemented
927#394C22×C3711yescharacteristic, complemented
928#394C22×C3711yescharacteristic, complemented
929#394C22×C3711yescharacteristic, complemented
930#392C22×C3711yescharacteristic
931#392C22×C3711yescharacteristic
932#392C22×C3711yescharacteristic
933#392C22×C3711yescharacteristic
934#392C22×C3711yescharacteristic
935#392C22×C3711yescharacteristic
936#392C22×C3711yescharacteristic
937#392C22×C3711yescharacteristic
938#392C22×C3711yescharacteristic, complemented
939#390C22×C3711yescharacteristic
940#390C22×C3711yescharacteristic
941#390C22×C3711yescharacteristic
942#390C22×C3711yescharacteristic
943#390C22×C3711yescharacteristic
944#390C22×C3711yescharacteristic
945#390C22×C3711yescharacteristic, complemented
946#390C22×C3711yescharacteristic, complemented
947#389C22×C3711yescharacteristic, complemented
948#389C22×C3711yescharacteristic, complemented
949#389C22×C3711yescharacteristic, complemented
950#388C22×C3711yescharacteristic
951#388C22×C3711yescharacteristic
952#388C22×C3711yescharacteristic
953#388C22×C3711yescharacteristic
954#388C22×C3711yescharacteristic
955#388C22×C3711yescharacteristic
956#388C22×C3711yescharacteristic
957#388C22×C3711yescharacteristic, complemented
958#388C22×C3711yescharacteristic, complemented
959#388C22×C3711yescharacteristic, complemented
960#388C22×C3711yescharacteristic, complemented
961#388C22×C3711yescharacteristic, complemented
962#388C22×C3711yescharacteristic, complemented
963#388C22×C3711yescharacteristic, complemented
964#388C22×C3711yescharacteristic, complemented
965#387C22×C3711yescharacteristic, complemented
966#387C22×C3711yescharacteristic, complemented
967#387C22×C3711yescharacteristic, complemented
968#387C22×C3711yescharacteristic, complemented
969#387C22×C3711yescharacteristic, complemented
970#387C22×C3711yescharacteristic, complemented
971#386C22×C3711yescharacteristic
972#386C22×C3711yescharacteristic
973#386C22×C3711yescharacteristic
974#386C22×C3711yescharacteristic
975#386C22×C3711yescharacteristic
976#386C22×C3711yescharacteristic
977#386C22×C3711yescharacteristic
978#386C22×C3711yescharacteristic
979#386C22×C3711yescharacteristic
980#386C22×C3711yescharacteristic
981#386C22×C3711yescharacteristic
982#386C22×C3711yescharacteristic
983#386C22×C3711yescharacteristic
984#386C22×C3711yescharacteristic
985#386C22×C3711yescharacteristic
986#386C22×C3711yescharacteristic
987#386C22×C3711yescharacteristic, complemented
988#386C22×C3711yescharacteristic, complemented
989#386C22×C3711yescharacteristic, complemented
990#386C22×C3711yescharacteristic, complemented
991#385C22×C3711yescharacteristic
992#385C22×C3711yescharacteristic
993#385C22×C3711yescharacteristic
994#385C22×C3711yescharacteristic
995#385C22×C3711yescharacteristic
996#385C22×C3711yescharacteristic
997#385C22×C3711yescharacteristic
998#385C22×C3711yescharacteristic, complemented
999#385C22×C3711yescharacteristic, complemented
1000#385C22×C3711yescharacteristic, complemented
1001#382C22×C3711yescharacteristic, complemented
1002#382C22×C3711yescharacteristic, complemented
1003#381C22×C3711yescharacteristic
1004#381C22×C3711yescharacteristic
1005#381C22×C3711yescharacteristic, complemented
1006#381C22×C3711yescharacteristic, complemented
1007#380C22×C3711yescharacteristic
1008#380C22×C3711yescharacteristic
1009#380C22×C3711yescharacteristic
1010#380C22×C3711yescharacteristic, complemented
1011#380C22×C3711yescharacteristic, complemented
1012#379C22×C3711yescharacteristic
1013#379C22×C3711yescharacteristic
1014C4×C4⋊C4C22×C3711yescharacteristic, complemented
1015C4×C22⋊C4C22×C3711yescharacteristic
1016C4×C22⋊C4C22×C3711yescharacteristic
1017C4×C22⋊C4C22×C3711yescharacteristic
1018C4×C22⋊C4C22×C3711yescharacteristic, complemented
1019C4×C22⋊C4C22×C3711yescharacteristic, complemented
1020C4×C22⋊C4C22×C3711yescharacteristic, complemented
1021C37#3688711yescharacteristic, direct product factor, Sylow
1022C25C23×C3711yescharacteristic
1023C22×D4C23×C3711yescharacteristic
1024C22×D4C23×C3711yescharacteristic
1025C22×D4C23×C3711yescharacteristic
1026C22×D4C23×C3711yescharacteristic
1027C22×D4C23×C3711yescharacteristic
1028C22×D4C23×C3711yescharacteristic
1029C22×D4C23×C3711yescharacteristic
1030C22×D4C23×C3711yescharacteristic
1031C22×D4C23×C3711yescharacteristic
1032C22×D4C23×C3711yescharacteristic
1033C22×D4C23×C3711yescharacteristic
1034C22×D4C23×C3711yescharacteristic
1035C22×D4C23×C3711yescharacteristic
1036C22×D4C23×C3711yescharacteristic
1037C22×D4C23×C3711yescharacteristic
1038C22×D4C23×C3711yescharacteristic
1039C22×D4C23×C3711yescharacteristic
1040C22×D4C23×C3711yescharacteristic
1041C23×C4—42no—
1042C23×C4—42no—
1043C23×C4—42no—
1044C23×C4C23×C3711yescharacteristic
1045C23×C4C23×C3711yescharacteristic
1046C23×C4C23×C3711yescharacteristic
1047C23×C4C23×C3711yescharacteristic
1048C23×C4C23×C3711yescharacteristic
1049C23×C4C23×C3711yescharacteristic
1050C23×C4C23×C3711yescharacteristic
1051C23×C4C23×C3711yescharacteristic
1052C23×C4C23×C3711yescharacteristic
1053C23×C4C23×C3711yescharacteristic
1054#127—42no—
1055#126—42no—
1056#126—42no—
1057#126—42no—
1058#123—24no—
1059#123—42no—
1060#123—42no—
1061#123—42no—
1062#121—24no—
1063#121—42no—
1064#121—42no—
1065#121—42no—
1066#121—42no—
1067#121—42no—
1068#121—42no—
1069#121—42no—
1070#121—42no—
1071#120—24no—
1072#120—42no—
1073#120—42no—
1074#120—42no—
1075C4×D4—42no—
1076C4×D4—42no—
1077C4×D4—42no—
1078C2×C4⋊C4C23×C3711yescharacteristic
1079C2×C4⋊C4C23×C3711yescharacteristic
1080C2×C4⋊C4C23×C3711yescharacteristic
1081C2×C4⋊C4C23×C3711yescharacteristic
1082C2×C4⋊C4C23×C3711yescharacteristic
1083C2×C4⋊C4C23×C3711yescharacteristic
1084C2×C4⋊C4C23×C3711yescharacteristic
1085C2×C4⋊C4C23×C3711yescharacteristic
1086C2×C4⋊C4C23×C3711yescharacteristic
1087C2×C4⋊C4C23×C3711yescharacteristic
1088C2×C4⋊C4C23×C3711yescharacteristic
1089C2×C4⋊C4C23×C3711yescharacteristic
1090C2×C4⋊C4C23×C3711yescharacteristic
1091C2×C4⋊C4C23×C3711yescharacteristic
1092C2×C4⋊C4C23×C3711yescharacteristic
1093C2×C4⋊C4C23×C3711yescharacteristic
1094C2×C4⋊C4C23×C3711yescharacteristic
1095C2×C4⋊C4C23×C3711yescharacteristic
1096C2×C4⋊C4C23×C3711yescharacteristic
1097C2×C4⋊C4C23×C3711yescharacteristic
1098C2×C4⋊C4C23×C3711yescharacteristic
1099C2×C4⋊C4C23×C3711yescharacteristic
1100C2×C4⋊C4C23×C3711yescharacteristic
1101C2×C4⋊C4C23×C3711yescharacteristic
1102C2×C4⋊C4C23×C3711yescharacteristic
1103C2×C4⋊C4C23×C3711yescharacteristic
1104C2×C22⋊C4C23×C3711yescharacteristic
1105C2×C22⋊C4C23×C3711yescharacteristic
1106C2×C22⋊C4C23×C3711yescharacteristic
1107C2×C22⋊C4C23×C3711yescharacteristic
1108C2×C22⋊C4C23×C3711yescharacteristic
1109C2×C22⋊C4C23×C3711yescharacteristic
1110C2×C22⋊C4C23×C3711yescharacteristic
1111C2×C22⋊C4C23×C3711yescharacteristic
1112C2×C22⋊C4C23×C3711yescharacteristic
1113C2×C22⋊C4C23×C3711yescharacteristic
1114C2×C22⋊C4C23×C3711yescharacteristic
1115C2×C22⋊C4C23×C3711yescharacteristic
1116C2×C22⋊C4C23×C3711yescharacteristic
1117C2×C22⋊C4C23×C3711yescharacteristic
1118C2×C22⋊C4C23×C3711yescharacteristic
1119C2×C22⋊C4C23×C3711yescharacteristic
1120C2×C22⋊C4C23×C3711yescharacteristic
1121C2×C22⋊C4C23×C3711yescharacteristic
1122C2×C22⋊C4C23×C3711yescharacteristic
1123C2×C22⋊C4C23×C3711yescharacteristic
1124C2×C22⋊C4C23×C3711yescharacteristic
1125C2×C22⋊C4C23×C3711yescharacteristic
1126C2×C22⋊C4C23×C3711yescharacteristic
1127C2×C22⋊C4C23×C3711yescharacteristic
1128C2×C22⋊C4C23×C3711yescharacteristic
1129C2×C22⋊C4C23×C3711yescharacteristic
1130C2×C22⋊C4C23×C3711yescharacteristic
1131C2×C22⋊C4C23×C3711yescharacteristic
1132C2×C22⋊C4C23×C3711yescharacteristic
1133C2×C22⋊C4C23×C3711yescharacteristic
1134C2×C22⋊C4C23×C3711yescharacteristic
1135C2×C22⋊C4C23×C3711yescharacteristic
1136C2×C22⋊C4C23×C3711yescharacteristic
1137C2×C22⋊C4C23×C3711yescharacteristic
1138C2×C22⋊C4C23×C3711yescharacteristic
1139C2×C22⋊C4C23×C3711yescharacteristic
1140C2×C22⋊C4C23×C3711yescharacteristic
1141C2×C22⋊C4C23×C3711yescharacteristic
1142C2×C22⋊C4C23×C3711yescharacteristic
1143C2×C22⋊C4C23×C3711yescharacteristic
1144C2×C22⋊C4C23×C3711yescharacteristic
1145C2×C22⋊C4C23×C3711yescharacteristic
1146C2×C22⋊C4C23×C3711yescharacteristic
1147C2×C22⋊C4C23×C3711yescharacteristic
1148C2×C22⋊C4C23×C3711yescharacteristic
1149C2×C22⋊C4C23×C3711yescharacteristic
1150C2×C22⋊C4C23×C3711yescharacteristic
1151C2×C22⋊C4C23×C3711yescharacteristic
1152C2×C22⋊C4C23×C3711yescharacteristic
1153C2×C22⋊C4C23×C3711yescharacteristic
1154C2×C22⋊C4C23×C3711yescharacteristic
1155C2×C22⋊C4C23×C3711yescharacteristic
1156C2×C22⋊C4C23×C3711yescharacteristic
1157C2×C22⋊C4C23×C3711yescharacteristic
1158C2×C22⋊C4C23×C3711yescharacteristic
1159C2×C22⋊C4C23×C3711yescharacteristic
1160C2×C42C23×C3711yescharacteristic
1161C2×C42C23×C3711yescharacteristic
1162C2×C42C23×C3711yescharacteristic
1163C2×C42C23×C3711yescharacteristic
1164C2×C42C23×C3711yescharacteristic
1165C2×C42C23×C3711yescharacteristic
1166C2×C42C23×C3711yescharacteristic
1167C2×C42C23×C3711yescharacteristic
1168#95C23×C3711yescharacteristic
1169#95C23×C3711yescharacteristic
1170#95C23×C3711yescharacteristic
1171#95C23×C3711yescharacteristic
1172#95C23×C3711yescharacteristic
1173#95C23×C3711yescharacteristic
1174#95C23×C3711yescharacteristic
1175#95C23×C3711yescharacteristic
1176#95C23×C3711yescharacteristic
1177#95C23×C3711yescharacteristic
1178#95C23×C3711yescharacteristic
1179#95C23×C3711yescharacteristic
1180#95C23×C3711yescharacteristic
1181#95C23×C3711yescharacteristic
1182#95C23×C3711yescharacteristic
1183#95C23×C3711yescharacteristic
1184#95C23×C3711yescharacteristic
1185#95C23×C3711yescharacteristic
1186#95C23×C3711yescharacteristic
1187#95C23×C3711yescharacteristic
1188#95C23×C3711yescharacteristic
1189#95C23×C3711yescharacteristic
1190#95C23×C3711yescharacteristic
1191#95C23×C3711yescharacteristic
1192#95C23×C3711yescharacteristic
1193#95C23×C3711yescharacteristic
1194#95C23×C3711yescharacteristic
1195#95C23×C3711yescharacteristic
1196#95C23×C3711yescharacteristic
1197#95C23×C3711yescharacteristic
1198#95C23×C3711yescharacteristic
1199#95C23×C3711yescharacteristic
1200#95C23×C3711yescharacteristic
1201#95C23×C3711yescharacteristic
1202#95C23×C3711yescharacteristic
1203#95C23×C3711yescharacteristic
1204C24—22no—
1205C24—22no—
1206C24—22no—
1207C24—41no—
1208C24—41no—
1209C24—41no—
1210C24—41no—
1211C24C24×C3711yescharacteristic
1212C24C24×C3711yescharacteristic
1213C24C24×C3711yescharacteristic
1214C24C24×C3711yescharacteristic
1215C24C24×C3711yescharacteristic
1216C24C24×C3711yescharacteristic
1217C24C24×C3711yescharacteristic
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4—41no—
1258C2×D4—41no—
1259C2×D4—41no—
1260C2×D4—41no—
1261C2×D4—41no—
1262C2×D4—41no—
1263C2×D4—41no—
1264C2×D4—41no—
1265C2×D4—41no—
1266C2×D4—41no—
1267C2×D4—41no—
1268C2×D4—41no—
1269C2×D4—41no—
1270C2×D4—41no—
1271C2×D4—41no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—41no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—41no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—416no—
1303C22×C4C24×C3711yescharacteristic
1304C22×C4C24×C3711yescharacteristic
1305C22×C4C24×C3711yescharacteristic
1306C22×C4C24×C3711yescharacteristic
1307C22×C4C24×C3711yescharacteristic
1308C22×C4C24×C3711yescharacteristic
1309C22×C4C24×C3711yescharacteristic
1310C22×C4C24×C3711yescharacteristic
1311C22×C4C24×C3711yescharacteristic
1312C22×C4C24×C3711yescharacteristic
1313C22×C4C24×C3711yescharacteristic
1314C22×C4C24×C3711yescharacteristic
1315C22×C4C24×C3711yescharacteristic
1316C22×C4C24×C3711yescharacteristic
1317C22×C4C24×C3711yescharacteristic
1318C22×C4C24×C3711yescharacteristic
1319C22×C4C24×C3711yescharacteristic
1320C22×C4C24×C3711yescharacteristic
1321C22×C4C24×C3711yescharacteristic
1322C22×C4C24×C3711yescharacteristic
1323C22×C4C24×C3711yescharacteristic
1324C22×C4C24×C3711yescharacteristic
1325C22×C4C24×C3711yescharacteristic
1326C22×C4C24×C3711yescharacteristic
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—41no—
1335C4⋊C4—41no—
1336C4⋊C4—41no—
1337C4⋊C4—41no—
1338C4⋊C4—41no—
1339C4⋊C4—41no—
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—41no—
1348C4⋊C4—41no—
1349C4⋊C4—41no—
1350C4⋊C4—41no—
1351C4⋊C4—41no—
1352C4⋊C4—41no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—22no—
1357C22⋊C4—22no—
1358C22⋊C4—22no—
1359C22⋊C4—22no—
1360C22⋊C4—22no—
1361C22⋊C4—22no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—41no—
1390C22⋊C4—41no—
1391C22⋊C4—41no—
1392C22⋊C4—41no—
1393C22⋊C4—41no—
1394C22⋊C4—41no—
1395C22⋊C4—41no—
1396C22⋊C4—41no—
1397C22⋊C4—41no—
1398C22⋊C4—41no—
1399C22⋊C4—41no—
1400C22⋊C4—41no—
1401C22⋊C4—41no—
1402C22⋊C4—41no—
1403C22⋊C4—41no—
1404C22⋊C4—41no—
1405C22⋊C4—41no—
1406C22⋊C4—41no—
1407C22⋊C4—41no—
1408C22⋊C4#41×C3714yes—
1409C42—22no—
1410C42—41no—
1411C42—41no—
1412C42—41no—
1413C42—41no—
1414C42—41no—
1415C42—41no—
1416C42—41no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—44no—
1464C23—44no—
1465C23—44no—
1466C23—44no—
1467C23—44no—
1468C23—44no—
1469C23—44no—
1470C23C2×#41×C3712yes—
1471C23H(5,𝔽2)×C3712yes—
1472C23H(5,𝔽2)×C3712yes—
1473C23C25×C3711yescharacteristic
1474D4—44no—
1475D4—44no—
1476D4—44no—
1477D4—82no—
1478D4—82no—
1479D4—82no—
1480D4—82no—
1481D4—82no—
1482D4—82no—
1483D4—82no—
1484D4—82no—
1485D4—82no—
1486D4—82no—
1487D4—82no—
1488D4—82no—
1489D4—82no—
1490D4—82no—
1491D4—82no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—44no—
1561C2×C4—44no—
1562C2×C4—44no—
1563C2×C4—44no—
1564C2×C4—44no—
1565C2×C4—44no—
1566C2×C4—82no—
1567C2×C4—82no—
1568C2×C4—82no—
1569C2×C4—82no—
1570C2×C4C2×#41×C3712yes—
1571C2×C4C2×#41×C3712yes—
1572C2×C4H(5,𝔽2)×C3712yes—
1573C2×C4H(5,𝔽2)×C3712yes—
1574C22—22no—
1575C22—22no—
1576C22—22no—
1577C22—22no—
1578C22—22no—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—416no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22C22×#41×C3711yescharacteristic
1625C22C2×H(5,𝔽2)×C3711yescharacteristic
1626C22C2×H(5,𝔽2)×C3711yescharacteristic
1627C22C2×H(5,𝔽2)×C3711yescharacteristic
1628C22C2×H(5,𝔽2)×C3711yescharacteristic
1629C22C37×#58511yescharacteristic
1630C22C37×#58511yescharacteristic
1631C4—22no—
1632C4—22no—
1633C4—22no—
1634C4—22no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C2—42no—
1656C2—42no—
1657C2—42no—
1658C2—81no—
1659C2—81no—
1660C2—81no—
1661C2—81no—
1662C2C37×#346011yescharacteristic
1663C2C37×#351311yescharacteristic
1664C2C37×#351911yescharacteristic
1665C2C37×#353211yescharacteristic
1666C2C37×#353411yescharacteristic
1667C2C37×#353911yescharacteristic
1668C2C37×#354211yescharacteristic
subgroupG/H
center, socleC23×C37C25
commutator, Frattini, cosocleC23C25×C37
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C37 ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C37×#2849C2semidirect
2. C37×#2847C2semidirect
3. C37×#2778C2semidirect
4. C37×#2768C2semidirect
5. C37×#2753C2semidirect
6. C37×#2746C2semidirect
7. C37×#2739C2semidirect
8. C37×#2714C2semidirect
9. C37×#2709C2semidirect
10. C37×#2705C2semidirect
11. C37×#2699C2semidirect
12. C37×#2691C2semidirect
13. C37×#2685C2semidirect
14. C37×#2678C2semidirect
15. C37×#2678C2semidirect
16. C37×#2671C2semidirect
17. C37×#2671C2semidirect
18. C37×#2669C2semidirect
19. C37×#2636C2semidirect
20. C37×#2635C2semidirect
21. C37×#2576C2semidirect
22. C37×#2559C2semidirect
23. C37×#2554C2semidirect
24. C37×#2553C2semidirect
25. C37×#2468C2semidirect
26. C37×#2464C2semidirect
27. C37×#2428C2semidirect
28. C37×#2420C2semidirect
29. C37×#2335C2semidirect
30. C37×#2333C2semidirect
31. C4×#120×C37C2semidirect
35. C2×#126×C37C22semidirect
36. C2×#126×C37C22semidirect
48. C2×#121×C37C22semidirect
49. C2×#121×C37C22semidirect
57. C37×#401C22semidirect
58. C37×#400C22semidirect
59. C37×#400C22semidirect
60. C37×#400C22semidirect
62. C37×#399C22semidirect
63. C37×#399C22semidirect
64. C37×#398C22semidirect
65. C37×#398C22semidirect
66. C37×#398C22semidirect
67. C37×#398C22semidirect
68. C37×#398C22semidirect
71. C37×#397C22semidirect
72. C37×#397C22semidirect
76. C37×#396C22semidirect
87. C37×#394C22semidirect
88. C37×#394C22semidirect
89. C37×#394C22semidirect
90. C37×#394C22semidirect
91. C37×#394C22semidirect
92. C37×#394C22semidirect
93. C37×#394C22semidirect
94. C37×#394C22semidirect
95. C37×#394C22semidirect
104. C37×#392C22semidirect
111. C37×#390C22semidirect
112. C37×#390C22semidirect
113. C37×#389C22semidirect
114. C37×#389C22semidirect
115. C37×#389C22semidirect
123. C37×#388C22semidirect
124. C37×#388C22semidirect
125. C37×#388C22semidirect
126. C37×#388C22semidirect
127. C37×#388C22semidirect
128. C37×#388C22semidirect
129. C37×#388C22semidirect
130. C37×#388C22semidirect
131. C37×#387C22semidirect
132. C37×#387C22semidirect
133. C37×#387C22semidirect
134. C37×#387C22semidirect
135. C37×#387C22semidirect
136. C37×#387C22semidirect
153. C37×#386C22semidirect
154. C37×#386C22semidirect
155. C37×#386C22semidirect
156. C37×#386C22semidirect
164. C37×#385C22semidirect
165. C37×#385C22semidirect
166. C37×#385C22semidirect
167. C37×#382C22semidirect
168. C37×#382C22semidirect
171. C37×#381C22semidirect
172. C37×#381C22semidirect
176. C37×#380C22semidirect
177. C37×#380C22semidirect
180. C4×C4⋊C4×C37C22semidirect
184. C4×C22⋊C4×C37C22semidirect
185. C4×C22⋊C4×C37C22semidirect
186. C4×C22⋊C4×C37C22semidirect
739. #36887C37direct (N × H)
821. #2849C2×C37semidirect
822. #2847C2×C37semidirect
823. #2778C2×C37semidirect
824. #2768C2×C37semidirect
825. #2753C2×C37semidirect
826. #2746C2×C37semidirect
827. #2739C2×C37semidirect
828. #2714C2×C37semidirect
829. #2709C2×C37semidirect
830. #2705C2×C37semidirect
831. #2699C2×C37semidirect
832. #2691C2×C37semidirect
833. #2685C2×C37semidirect
834. #2678C2×C37semidirect
835. #2678C2×C37semidirect
836. #2671C2×C37semidirect
837. #2671C2×C37semidirect
838. #2669C2×C37semidirect
839. #2636C2×C37semidirect
840. #2635C2×C37semidirect
841. #2576C2×C37semidirect
842. #2559C2×C37semidirect
843. #2554C2×C37semidirect
844. #2553C2×C37semidirect
845. #2468C2×C37semidirect
846. #2464C2×C37semidirect
847. #2428C2×C37semidirect
848. #2420C2×C37semidirect
849. #2335C2×C37semidirect
850. #2333C2×C37semidirect
851. C4×#120C2×C37semidirect
869. C2×#126C22×C37semidirect
870. C2×#126C22×C37semidirect
882. C2×#121C22×C37semidirect
883. C2×#121C22×C37semidirect
891. #401C22×C37semidirect
892. #400C22×C37semidirect
893. #400C22×C37semidirect
894. #400C22×C37semidirect
896. #399C22×C37semidirect
897. #399C22×C37semidirect
898. #398C22×C37semidirect
899. #398C22×C37semidirect
900. #398C22×C37semidirect
901. #398C22×C37semidirect
902. #398C22×C37semidirect
905. #397C22×C37semidirect
906. #397C22×C37semidirect
910. #396C22×C37semidirect
921. #394C22×C37semidirect
922. #394C22×C37semidirect
923. #394C22×C37semidirect
924. #394C22×C37semidirect
925. #394C22×C37semidirect
926. #394C22×C37semidirect
927. #394C22×C37semidirect
928. #394C22×C37semidirect
929. #394C22×C37semidirect
938. #392C22×C37semidirect
945. #390C22×C37semidirect
946. #390C22×C37semidirect
947. #389C22×C37semidirect
948. #389C22×C37semidirect
949. #389C22×C37semidirect
957. #388C22×C37semidirect
958. #388C22×C37semidirect
959. #388C22×C37semidirect
960. #388C22×C37semidirect
961. #388C22×C37semidirect
962. #388C22×C37semidirect
963. #388C22×C37semidirect
964. #388C22×C37semidirect
965. #387C22×C37semidirect
966. #387C22×C37semidirect
967. #387C22×C37semidirect
968. #387C22×C37semidirect
969. #387C22×C37semidirect
970. #387C22×C37semidirect
987. #386C22×C37semidirect
988. #386C22×C37semidirect
989. #386C22×C37semidirect
990. #386C22×C37semidirect
998. #385C22×C37semidirect
999. #385C22×C37semidirect
1000. #385C22×C37semidirect
1001. #382C22×C37semidirect
1002. #382C22×C37semidirect
1005. #381C22×C37semidirect
1006. #381C22×C37semidirect
1010. #380C22×C37semidirect
1011. #380C22×C37semidirect
1014. C4×C4⋊C4C22×C37semidirect
1018. C4×C22⋊C4C22×C37semidirect
1019. C4×C22⋊C4C22×C37semidirect
1020. C4×C22⋊C4C22×C37semidirect
1021. C37#36887direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C37×#28492
C37×#28472
C37×#27782
C37×#27682
C37×#27532
C37×#27462
C37×#27392
C37×#27142
C37×#27092
C37×#27052
C37×#26992
C37×#26912
C37×#26852
C37×#26782
C37×#26712
C37×#26692
C37×#26362
C37×#26352
C37×#25762
C37×#25592
C37×#25542
C37×#25532
C37×#24682
C37×#24642
C37×#24282
C37×#24202
C37×#23352
C37×#23332
C4×#120×C372
#3688737